Elias Jarlebring

Dahlquist research fellow, Dept. Mathematics, KTH

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Publications

Preprints/PDFs that you can download from this page may differ from the printed journal version.

Submitted manuscripts and technical reports not published elsewhere

4. E. Jarlebring, S. Kvaal and W. Michiels
   An inverse iteration method for eigenvalue problems with eigenvector nonlinearities
   2012
   [preprint] [bibtex]
3. E. Jarlebring and S. Güttel
   A spatially adaptive iterative method for a class of nonlinear operator eigenvalue problems
   submitted to ETNA, 2012
   [preprint] [bibtex]
2. E. Jarlebring, E. H. Rubensson
   On the condition number and perturbation of matrix functions for Hermitian matrices
   This paper is in preparation for an unusual reason. See "comments" in the arxiv preprint, 2012
   [preprint] [bibtex]
1. E. Jarlebring, K. Meerbergen and W. Michiels
   Computing a partial Schur factorization of nonlinear eigenvalue problems using the infinite Arnoldi method
   2011
   [preprint] [bibtex]

Journal Papers (published or accepted for publication)

16. E. Jarlebring, T. Damm and W. Michiels
    Model reduction of time-delay systems using position balancing and delay Lyapunov equations
    Mathematics of Control, Signals, and Systems, 25(2):147-166, 2012
    [preprint] [paper] [bibtex]
15. E. Jarlebring, W. Michiels and K. Meerbergen
    A linear eigenvalue algorithm for the nonlinear eigenvalue problem
    Numerische Mathematik, 122(1):169-195, 2012
    [preprint] [paper] [Zbl] [bibtex]
14. M. Saadvandi, K. Meerbergen and E. Jarlebring
    On dominant poles and model reduction of second order time-delay systems
    Appl. Numer. Math., 62(1):21-34, 2012
    [preprint] [paper] [Zbl] [bibtex]
13. E. Jarlebring
    Convergence factors of Newton methods for nonlinear eigenvalue problems
    Linear Algebra Appl., 436:3943-3953, 2012
    [preprint] [paper] [Zbl] [bibtex]
12. W. Michiels, E. Jarlebring and K. Meerbergen
    Krylov-based model order reduction of time-delay systems
    SIAM J. Matrix Anal. Appl., 32(4):1399-1421, 2011
    [preprint] [paper] [Zbl] [bibtex]
11. E. Jarlebring and W. Michiels
    Analyzing the convergence factor of residual inverse iteration
    BIT numerical mathematics, 51(4):937-957, 2011
    [preprint] [paper] [Zbl] [bibtex]
10. E. Jarlebring, S. Kvaal and W. Michiels
    Computing all pairs (λ,μ) such that λ is a double eigenvalue of A+μB
    SIAM J. Matrix Anal. Appl., 32(3):902-927, 2011
    [preprint] [paper] [Zbl] [bibtex]
9. S. Kvaal, E. Jarlebring and W. Michiels
   Computing singularities of perturbation series
   Phys. Rev. A, 83:032505, 2011
   [preprint] [paper] [bibtex]
8. J. Vanbiervliet, W. Michiels and E. Jarlebring
   Using spectral discretization for the optimal ℋ₂ design of time-delay systems
   Int. J. Control, 84(2):228-241, 2011
   [preprint] [paper] [Zbl] [bibtex]
7. E. Jarlebring, J. Vanbiervliet and W. Michiels
   Characterizing and computing the ℋ₂ norm of time-delay systems by solving the delay Lyapunov equation
   IEEE Trans. Autom. Control, full paper, 56(4):814-825, 2011
   [preprint] [paper] [bibtex]
6. E. Jarlebring, K. Meerbergen and W. Michiels
   A Krylov method for the delay eigenvalue problem
   SIAM J. Sci. Comput., 32(6):3278-3300, 2010
   [preprint] [paper] [Zbl] [bibtex]
5. E. Jarlebring and W. Michiels
   Invariance properties in the root sensitivity of time-delay systems with double imaginary roots
   Automatica, 46:1112-1115, 2010
   [preprint] [paper] [Zbl] [bibtex]
4. E. Jarlebring and M.E. Hochstenbach
   Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations
   Linear Algebra Appl., 431(3-4):369-380, 2009
   [preprint] [paper] [Zbl] [bibtex]
3. E. Jarlebring
   Critical delays and Polynomial Eigenvalue Problems
   J. Comput. Appl. Math., 224(1):296-306, 2009
   [preprint] [paper] [Zbl] [bibtex]
2. E. Jarlebring and T. Damm
   The Lambert W function and the spectrum of some multidimensional time-delay systems
   Automatica, 43(12):2124-2128, 2007
   [preprint] [paper] [Zbl] [bibtex]
1. E. Jarlebring and H. Voss
   Rational Krylov for Nonlinear Eigenproblems, an Iterative Projection Method
   Applications of Mathematics, 50(6):543-554, 2005
   [preprint] [paper] [Zbl] [bibtex]

Books (editor)

• M. Diehl, F. Glineur, E. Jarlebring and W. Michiels (editors)
  Recent Advances in Optimization and its Applications in Engineering
  Springer, 2010, ISBN:3642125972
  [publisher] 

Chapters in books and edited volumes

1. E. Jarlebring, W. Michiels, K. Meerbergen
   The infinite Arnoldi method and an application to time-delay systems with distributed delays
   In R. Sipahi, T. Vyhlidal, P. Pepe, S.-I. Niculescu, Eds., 'Time Delay Systems - Methods, Applications and New Trends', 2011
   [preprint] [paper] 

Conference proceedings

9. W. Michiels, E. Jarlebring, K. Meerbergen
   A projection approach for model reduction of large-scale time-delay systems, with application to a boundary controlled PDE
   Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Dec. 12-15, 2011
   [conference] [paper] 
8. E. Jarlebring, J. Vanbiervliet and W. Michiels
   Explicit expressions for the ℋ₂ norm of time-delay systems based on the delay Lyapunov equation
   Proceedings of the 49th IEEE Conference on Decision and Control, 2010, December 15-17, 2010
   [conference] [paper] 
7. O. Rott and E. Jarlebring
   An iterative method for the multipliers of periodic delay-differential equations and the analysis of a PDE milling model
   Proceedings of the 9th IFAC Workshop on Time Delay Systems, Prague, June 7-9, 2010
   [conference] [preprint] [paper] [abstract] 
6. E. Jarlebring, K. Meerbergen and W. Michiels
   An Arnoldi method with structured starting vectors for the delay eigenvalue problem
   Proceedings of the 9th IFAC Workshop on Time Delay Systems, Prague, June 7-9, 2010
   [conference] [preprint] [paper] 
5. E. Jarlebring and W. Michiels
   Invariance properties in the root sensitivity of time-delay systems with double imaginary roots
   Proceedings of the 8th IFAC Workshop on Time-Delay Systems, Sinaia, 2009
   [conference] [preprint] [paper] 
4. E. Jarlebring
   On Critical Delays for Linear Neutral Delay Systems
   Proceedings of the European Control Conference, 2-5 July 2007
   [conference] [preprint] [abstract] 
3. E. Jarlebring
   Computing the Stability Region in Delay-space of a TDS using Polynomial Eigenproblems
   Proceedings of the 6th IFAC Workshop on Time-Delay Systems, 2006
   [conference] [preprint] [paper] 
2. E. Jarlebring
   Computing Critical delays for time delay systems with multiple delays
   Reglermöte, Stockholm, 2006, May 30-31
   [conference] [preprint] 
1. E. Jarlebring
   A quadratic eigenproblem in the analysis of a time delay system
   Proceedings of GAMM Annual Meeting, Berlin, 2006
   [conference] [preprint] [paper] 

Thesis

• E. Jarlebring
  The spectrum of delay-differential equations: numerical methods, stability and perturbation.
  PhD thesis, Inst. Comp. Math, TU Braunschweig, 2008
  [pdf] [bibtex] [Genealogy entry] [Zbl]

Recent and upcoming conferences and seminars

• A generalization of inverse iteration for eigenvector nonlinearities
  Seminar at University of Manchester, U.K., November 12, 2012
  
• On a generalization of inverse iteration for eigenvector nonlinearities
  SMC-NEGAA - Structured Matrix Computations in Non Euclidean Geometries: Algorithms and Applications, Oct. 8-12, 2012
  [conference] 
• The infinite Arnoldi method for nonlinear eigenvalue problems
  Seminar at University of Manchester, U.K., June 11, 2012
  
• On the condition number and perturbation of matrix functions with respect to unitarily invariant norms
  3rd IMA Conference on Numerical Linear Algebra and Optimisation, Birmingham, Sept. 10-12, 2012
  [conference] [abstract] 
• A restarting technique for the infinite Arnoldi method
  SIAM Conference on Applied Linear Algebra, Valencia, June 18-22, 2012
  [conference] [abstract] 
• A linear eigenvalue algorithm for nonlinear eigenvalue problems
  Seminar at University of Oxford, U.K., May 24, 2012
  
• Recent advances in numerical methods for eigenvalue problems
  Seminar at Kungl. Tekniska Högskolan, DqF seminar, February 17, 2012
  
• Numerical methods for nonlinear eigenproblems and associated problems
  Seminar at Centre for Interdisciplinary Mathematics, Uppsala University and KCSE Seminar, KTH, November 30, 2011 and February 29, 2012
  [abstract] 
• On a linear eigenvalue algorithm for nonlinear eigenvalue problems
  Seminar at MOPNET: EPSRC Matrix and Operator Pencil Network, University College London, Sept. 12-13, 2011, invited talk
  [conference] 
• Invariant pairs associated with the infinite Arnoldi method for nonlinear eigenvalue problems
  ILAS Conference - Pure and applied linear algebra, Aug. 22-26, 2011
  [conference] 
• A linear eigenvalue algorithm for the nonlinear eigenvalue problem
  GAMM Annual Meeting, Graz, April 18 - 21, 2011, In minisymposium nonlinear and structured eigenvalue problems
  [conference] 
• Solving Nonlinear Eigenvalue Problems with a Linear Arnoldi Method in a Function Setting and a Characterization of Associated Invariant Pairs
  Householder Symposium XVIII, Granlibakken, CA, USA, 12-17 June 2011
  [conference] 
• The infinite Arnoldi method for nonlinear eigenvalue problems
  Seminar at Universität Tübingen, Germany, March 3, 2011
  

Other documents

• E. Jarlebring
  Some Numerical Methods to Compute the Eigenvalues of a Time-Delay System Using Matlab
  The delay e-letter, issue 2, April 2008.
  [pdf] [e-letter]
• E. Jarlebring
  Krylov methods for nonlinear eigenvalue problems
  Master's thesis, Royal Institute of Technology, 2003

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